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Wolfgang Lück

Wolfgang Lück

D-Index & Metrics

Mathematics

D-Index
36
Citations
6256
World Ranking
2620
National Ranking
162

Overview

Wolfgang Lück is affiliated with the University of Bonn in Germany and has contributed extensively to the field of mathematics, with a focus on areas intersecting algebra, topology, and mathematical physics. Their research encompasses a range of topics including homotopy and cohomology in algebraic topology, geometric and algebraic topology, advanced topics in algebra, algebraic structures and combinatorial models, advanced algebra and geometry, advanced operator algebra research, and finite group theory research.

The scientist's recent publications include the following papers:

  • A vanishing theorem for tautological classes of aspherical manifolds (2021), published in Geometry & Topology
  • Proper Equivariant Stable Homotopy Theory (2023), published in Memoirs of the American Mathematical Society
  • Lehmer's problem for arbitrary groups (2020), published in Journal of Topology and Analysis
  • Equivariant Cohomology of Configuration Spaces mod 2: The State of the Art (2020), published on arXiv (Cornell University)
  • On Nielsen realization and manifold models for classifying spaces (2024), published in Transactions of the American Mathematical Society

Collaboration has been a notable aspect of their work, with several frequent coauthors contributing to various projects. These include:

  • Tibor Macko
  • Pavle V. M. Blagojević
  • Fred Cohen
  • M. C. Crabb
  • Günter M. Ziegler

Wolfgang Lück has published in multiple venues, demonstrating engagement across various respected journals and repositories. Frequent publication venues include:

  • arXiv (Cornell University)
  • Geometry & Topology
  • Memoirs of the American Mathematical Society
  • Journal of Topology and Analysis
  • Transactions of the American Mathematical Society

Their contributions to published book literature include works issued by Springer Nature. Notable titles are:

  • Surgery Theory (2024)
  • Equivariant Cohomology of Configuration Spaces Mod 2 (2021)

Lück's academic output covers a total of 52 publications within the broad discipline of Mathematics. Subfields of study particularly represented in their work include Mathematical Physics, Geometry and Topology, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Cellular and Molecular Neuroscience.

Best Publications

  • L2-Invariants: Theory and Applications to Geometry and K-Theory

    Wolfgang Lück

  • Transformation groups and algebraic K-theory

    Wolfgang Lück

  • Spaces over a category and assembly maps in isomorphism conjectures in K- and L-theory.

    James F. Davis;Wolfgang Lück

  • ApproximatingL 2-invariants by their finite-dimensional analogues

    W. Lück

  • Survey on Classifying Spaces for Families of Subgroups

    Wolfgang Lück

  • The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory

    Wolfgang Luck;Holger Reich;Fachbereich Mathematik

  • The Borel Conjecture for hyperbolic and CAT(0)-groups

    Arthur Bartels;Wolfgang Lück

  • L2-Topological invariants of 3-manifolds

    John Lott;Wolfgang Lück

  • The K -theoretic Farrell–Jones conjecture for hyperbolic groups

    Arthur Bartels;Wolfgang Lück;Holger Reich

  • The type of the classifying space for a family of subgroups

    Wolfgang Lück

  • On The Classifying Space of The Family of Virtually Cyclic Subgroups

    Wolfgang Luck;Michael Weiermann

  • Dimension theory of arbitrary modules over finite von Neumann algebras and L^2-Betti numbers, I, Foundations

    Wolfgang Lück

  • The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)

    Siegfried Echterhoff;Wolfgang Lück;N. Christopher Phillips;Samuel Walters

  • Chern characters for proper equivariant homology theories and applications to K- and L-theory

    Walter de Gruyter;Wolfgang Luck

  • Analytic and topological torsion for manifolds with boundary and symmetry

    Wolfgang Lück

  • The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups

    A. Bartels;F. T. Farrell;W. Lück

  • L2-Betti numbers of mapping tori and groups

    Wolfgang Lück

  • The completion theorem in K-theory for proper actions of a discrete group

    Wolfgang Lück;Bob Oliver

  • Isomorphism Conjecture for homotopy K-theory and groups acting on trees

    Arthur Bartels;Wolfgang Lück

  • Dimension theory of arbitrary modules over finite von Neumann algebras and L^2-Betti numbers, II, Applications to Grothendieck groups, L^2-Euler characteristics and Burnside groups

    Wolfgang Lück

Frequent Co-Authors

Günter M. Ziegler
Günter M. Ziegler Freie Universität Berlin
Thomas Schick
Thomas Schick University of Göttingen
Andrew Ranicki
Andrew Ranicki University of Edinburgh
Mikael Rørdam
Mikael Rørdam University of Copenhagen
John Lott
John Lott University of California, Berkeley

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